Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 1 - Tools of Geometry - 1-7 Midpoint and Distance in the Coordinate Plane - Practice and Problem-Solving Exercises: 56

Answer

9.1 miles

Work Step by Step

If Maple Station is located 6 mi west and 2 mi north of the origin, that means its coordinates are (-6,2). We know that Maple=(-6,2) and Cedar=(-3,1). To find the distance, use the Distance Formula which is $\sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }$. Substituting gives $\sqrt {\left( {-(-6) - (-3) } \right)^2 + \left( {2 - 1 } \right)^2 }=\sqrt {\left( {9 } \right)^2 + \left( {1 } \right)^2 }=\sqrt {81+1}=\sqrt {82}=9.1$
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